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   <div id="projectname">gbmath
   &#160;<span id="projectnumber">v0.051</span>
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   <div id="projectbrief">c++ math library</div>
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<div class="title">mat33.h</div>  </div>
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<a href="mat33_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;﻿</div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#pragma once</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="preprocessor">#ifndef __GBMATH_H__</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="preprocessor"></span><span class="preprocessor">    #error  DO NOT INCLUDE THIS FILE. USE:   #include &lt;gbmath/_gbmath.h&gt;</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="preprocessor"></span><span class="preprocessor">#endif</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="preprocessor"></span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;</div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160; </div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="keyword">namespace </span>gbmath</div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;{</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;</div>
<div class="line"><a name="l00019"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html">   19</a></span>&#160;    <span class="keyword">struct </span><a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    {</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;        <span class="keyword">union</span></div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        {</div>
<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;            <span class="keyword">struct </span></div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;            {</div>
<div class="line"><a name="l00025"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a9aa3e3799af26d428c78364617056fbc">   25</a></span>&#160;               <span class="keywordtype">float</span> <a class="code" href="structgbmath_1_1mat33.html#a621d5b5d5c4d083a89e5dd4598ee7758">_11</a>,  <a class="code" href="structgbmath_1_1mat33.html#a3f712137dbe9eb176a0c55d6ac4a4617">_12</a>,  <a class="code" href="structgbmath_1_1mat33.html#a2054a8fe9012ab0bf7935e4ea2dfab49">_13</a>,</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;                     <a class="code" href="structgbmath_1_1mat33.html#ace480dd1e88b217ec8b722158bc9b95d">_21</a>,  <a class="code" href="structgbmath_1_1mat33.html#a8cf44a9b30417de7565528d1dfb22e2c">_22</a>,  <a class="code" href="structgbmath_1_1mat33.html#aa524945361d6d186c5b7ec475d5169e2">_23</a>,</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;                     <a class="code" href="structgbmath_1_1mat33.html#a19439defcbee29ae409f204a64b27121">_31</a>,  <a class="code" href="structgbmath_1_1mat33.html#a1b8847abf308ab754784e27f311466bf">_32</a>,  <a class="code" href="structgbmath_1_1mat33.html#a9aa3e3799af26d428c78364617056fbc">_33</a>;</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;            };</div>
<div class="line"><a name="l00029"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">   29</a></span>&#160;               <span class="keywordtype">float</span> <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a> [3][3];</div>
<div class="line"><a name="l00030"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a42b83fb66a3fb5ddf1afcf28537c0f70">   30</a></span>&#160;               <span class="keywordtype">float</span> <a class="code" href="structgbmath_1_1mat33.html#a42b83fb66a3fb5ddf1afcf28537c0f70">array</a> [9];</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;        };</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;</div>
<div class="line"><a name="l00033"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#abc8f0cdb92c8151b832a16fb39e1b48b">   33</a></span>&#160;        <span class="keyword">inline</span> <a class="code" href="structgbmath_1_1mat33.html#abc8f0cdb92c8151b832a16fb39e1b48b">mat33</a>() {}</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;</div>
<div class="line"><a name="l00035"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a8a6a2e38cf0ec9cedfb196e475d09fe8">   35</a></span>&#160;        <span class="keyword">inline</span> <a class="code" href="structgbmath_1_1mat33.html#a8a6a2e38cf0ec9cedfb196e475d09fe8">mat33</a>(<span class="keyword">const</span> <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp; m)</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;        { </div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;            *<span class="keyword">this</span> = m; </div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;        }</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div>
<div class="line"><a name="l00040"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a3ea3c0de22939be64efdcf975655fbfe">   40</a></span>&#160;        <span class="keyword">inline</span> <a class="code" href="structgbmath_1_1mat33.html#a3ea3c0de22939be64efdcf975655fbfe">mat33</a>( <span class="keywordtype">float</span> _11_, <span class="keywordtype">float</span> _12_, <span class="keywordtype">float</span> _13_,</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;                      <span class="keywordtype">float</span> _21_, <span class="keywordtype">float</span> _22_, <span class="keywordtype">float</span> _23_,</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;                      <span class="keywordtype">float</span> _31_, <span class="keywordtype">float</span> _32_, <span class="keywordtype">float</span> _33_ ) :</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;                            <a class="code" href="structgbmath_1_1mat33.html#a621d5b5d5c4d083a89e5dd4598ee7758">_11</a>( _11_ ), <a class="code" href="structgbmath_1_1mat33.html#a3f712137dbe9eb176a0c55d6ac4a4617">_12</a>( _12_ ), <a class="code" href="structgbmath_1_1mat33.html#a2054a8fe9012ab0bf7935e4ea2dfab49">_13</a>( _13_ ),</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;                            <a class="code" href="structgbmath_1_1mat33.html#ace480dd1e88b217ec8b722158bc9b95d">_21</a>( _21_ ), <a class="code" href="structgbmath_1_1mat33.html#a8cf44a9b30417de7565528d1dfb22e2c">_22</a>( _22_ ), <a class="code" href="structgbmath_1_1mat33.html#aa524945361d6d186c5b7ec475d5169e2">_23</a>( _23_ ),</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;                            <a class="code" href="structgbmath_1_1mat33.html#a19439defcbee29ae409f204a64b27121">_31</a>( _31_ ), <a class="code" href="structgbmath_1_1mat33.html#a1b8847abf308ab754784e27f311466bf">_32</a>( _32_ ), <a class="code" href="structgbmath_1_1mat33.html#a9aa3e3799af26d428c78364617056fbc">_33</a>( _33_ ) {}</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;</div>
<div class="line"><a name="l00048"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a1e910dddbd55308c08cc5618f6936ed8">   48</a></span>&#160;        <span class="keyword">inline</span> <a class="code" href="structgbmath_1_1mat33.html#a1e910dddbd55308c08cc5618f6936ed8">mat33</a>(<span class="keyword">const</span> <span class="keywordtype">float</span>* pfArray) </div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        { </div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            *<span class="keyword">this</span> = pfArray; </div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        }</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div>
<div class="line"><a name="l00053"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a25ea07770d2086ee96fe622223d76f9c">   53</a></span>&#160;        <span class="keyword">inline</span> <span class="keyword">operator</span>  <span class="keyword">const</span> <span class="keywordtype">float</span>*() <span class="keyword">const</span>  { <span class="keywordflow">return</span> &amp;<a class="code" href="structgbmath_1_1mat33.html#a621d5b5d5c4d083a89e5dd4598ee7758">_11</a>; }</div>
<div class="line"><a name="l00054"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a8e8aa4c246a746e4dc64900c0890eb6a">   54</a></span>&#160;        <span class="keyword">inline</span> <span class="keyword">operator</span>        <span class="keywordtype">float</span>*()        { <span class="keywordflow">return</span> &amp;<a class="code" href="structgbmath_1_1mat33.html#a621d5b5d5c4d083a89e5dd4598ee7758">_11</a>; }</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;</div>
<div class="line"><a name="l00056"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a8cced624765f3881e3a309e7592bd8d3">   56</a></span>&#160;        <span class="keyword">inline</span> <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp;  <a class="code" href="structgbmath_1_1mat33.html#a8cced624765f3881e3a309e7592bd8d3">operator =  </a>( <span class="keyword">const</span> <a class="code" href="structgbmath_1_1mat22.html" title="matrix 2x2 ">mat22</a>&amp; m)</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        {</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a> [0][0] = m.<a class="code" href="structgbmath_1_1mat22.html#aa9824a91f0d7ac802dfbbbf5a2eff7b2">floats</a> [0][0];</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a> [0][1] = m.<a class="code" href="structgbmath_1_1mat22.html#aa9824a91f0d7ac802dfbbbf5a2eff7b2">floats</a> [0][1];</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a> [1][0] = m.<a class="code" href="structgbmath_1_1mat22.html#aa9824a91f0d7ac802dfbbbf5a2eff7b2">floats</a> [1][0];</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a> [1][1] = m.<a class="code" href="structgbmath_1_1mat22.html#aa9824a91f0d7ac802dfbbbf5a2eff7b2">floats</a> [1][1];</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;            <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        }</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;</div>
<div class="line"><a name="l00065"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a95fa5d4fcdce22cab46ea66520312930">   65</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="structgbmath_1_1mat33.html#a8cced624765f3881e3a309e7592bd8d3">operator = </a>(<span class="keyword">const</span> <span class="keywordtype">float</span>* pfArray)</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;        {</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html#a621d5b5d5c4d083a89e5dd4598ee7758">_11</a>=  pfArray[0]; <a class="code" href="structgbmath_1_1mat33.html#a3f712137dbe9eb176a0c55d6ac4a4617">_12</a>= pfArray[1];  <a class="code" href="structgbmath_1_1mat33.html#a2054a8fe9012ab0bf7935e4ea2dfab49">_13</a>= pfArray[2];</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html#ace480dd1e88b217ec8b722158bc9b95d">_21</a>=  pfArray[3]; <a class="code" href="structgbmath_1_1mat33.html#a8cf44a9b30417de7565528d1dfb22e2c">_22</a>= pfArray[4];  <a class="code" href="structgbmath_1_1mat33.html#aa524945361d6d186c5b7ec475d5169e2">_23</a>= pfArray[5];</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html#a19439defcbee29ae409f204a64b27121">_31</a>=  pfArray[6]; <a class="code" href="structgbmath_1_1mat33.html#a1b8847abf308ab754784e27f311466bf">_32</a>= pfArray[7];  <a class="code" href="structgbmath_1_1mat33.html#a9aa3e3799af26d428c78364617056fbc">_33</a>= pfArray[8];</div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;        }</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp; <a class="code" href="structgbmath_1_1mat33.html#a8cced624765f3881e3a309e7592bd8d3">operator = </a>( <span class="keywordtype">float</span> a );</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
<div class="line"><a name="l00075"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a42373d0965d1053f4875ee5e8b065785">   75</a></span>&#160;        <span class="keyword">inline</span> <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a> <a class="code" href="structgbmath_1_1mat33.html#a42373d0965d1053f4875ee5e8b065785" title="Contacting mark all the elements of. ">operator - </a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a> r = *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;            r.<a class="code" href="structgbmath_1_1mat33.html#a621d5b5d5c4d083a89e5dd4598ee7758">_11</a>=-r.<a class="code" href="structgbmath_1_1mat33.html#a621d5b5d5c4d083a89e5dd4598ee7758">_11</a>;   r.<a class="code" href="structgbmath_1_1mat33.html#a3f712137dbe9eb176a0c55d6ac4a4617">_12</a>=-r.<a class="code" href="structgbmath_1_1mat33.html#a3f712137dbe9eb176a0c55d6ac4a4617">_12</a>;   r.<a class="code" href="structgbmath_1_1mat33.html#a2054a8fe9012ab0bf7935e4ea2dfab49">_13</a>=-r.<a class="code" href="structgbmath_1_1mat33.html#a2054a8fe9012ab0bf7935e4ea2dfab49">_13</a>;</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;            r.<a class="code" href="structgbmath_1_1mat33.html#ace480dd1e88b217ec8b722158bc9b95d">_21</a>=-r.<a class="code" href="structgbmath_1_1mat33.html#ace480dd1e88b217ec8b722158bc9b95d">_21</a>;   r.<a class="code" href="structgbmath_1_1mat33.html#a8cf44a9b30417de7565528d1dfb22e2c">_22</a>=-r.<a class="code" href="structgbmath_1_1mat33.html#a8cf44a9b30417de7565528d1dfb22e2c">_22</a>;   r.<a class="code" href="structgbmath_1_1mat33.html#aa524945361d6d186c5b7ec475d5169e2">_23</a>=-r.<a class="code" href="structgbmath_1_1mat33.html#aa524945361d6d186c5b7ec475d5169e2">_23</a>;</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;            r.<a class="code" href="structgbmath_1_1mat33.html#a19439defcbee29ae409f204a64b27121">_31</a>=-r.<a class="code" href="structgbmath_1_1mat33.html#a19439defcbee29ae409f204a64b27121">_31</a>;   r.<a class="code" href="structgbmath_1_1mat33.html#a1b8847abf308ab754784e27f311466bf">_32</a>=-r.<a class="code" href="structgbmath_1_1mat33.html#a1b8847abf308ab754784e27f311466bf">_32</a>;   r.<a class="code" href="structgbmath_1_1mat33.html#a9aa3e3799af26d428c78364617056fbc">_33</a>=-r.<a class="code" href="structgbmath_1_1mat33.html#a9aa3e3799af26d428c78364617056fbc">_33</a>;</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;            <span class="keywordflow">return</span> r;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;        }</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a> <a class="code" href="structgbmath_1_1mat33.html#ad2718d8a017585a2c3991391ea6b870c">operator + </a>( <span class="keyword">const</span> <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp; m ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a> <a class="code" href="structgbmath_1_1mat33.html#a42373d0965d1053f4875ee5e8b065785" title="Contacting mark all the elements of. ">operator - </a>( <span class="keyword">const</span> <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp; m ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp;   <a class="code" href="structgbmath_1_1mat33.html#ac8e0d6a74477f31178bc8a2f8ac18a59">operator *= </a>( <span class="keywordtype">float</span> f );</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp;   <a class="code" href="structgbmath_1_1mat33.html#ac8e0d6a74477f31178bc8a2f8ac18a59">operator *= </a>( <span class="keyword">const</span> <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp; m );</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp;   <a class="code" href="structgbmath_1_1mat33.html#a6582ab34f0f78ef3236b4d0b3470e227">operator /= </a>( <span class="keywordtype">float</span> f );</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp;   <a class="code" href="structgbmath_1_1mat33.html#a73f2deda7ce8657c6e9a89c6175a9035">operator += </a>( <span class="keyword">const</span> <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp; a );</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp;   <a class="code" href="structgbmath_1_1mat33.html#a1318cd58ec2a09ff58a6f192b4f922b8">operator -= </a>( <span class="keyword">const</span> <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp; a );</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>  <a class="code" href="structgbmath_1_1mat33.html#a208721a3602b65688ca880d777fa20f6">operator * </a>( <span class="keyword">const</span> <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp; m) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>  <a class="code" href="structgbmath_1_1mat33.html#a208721a3602b65688ca880d777fa20f6">operator * </a>(  <span class="keywordtype">float</span> f ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a>   <a class="code" href="structgbmath_1_1mat33.html#a208721a3602b65688ca880d777fa20f6">operator * </a>( <span class="keyword">const</span> <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a>&amp; v ) <span class="keyword">const</span>;</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
<div class="line"><a name="l00100"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a1ff7e1c35db123f455b23b58fe85d42c">  100</a></span>&#160;        <span class="keyword">inline</span> <span class="keyword">const</span> <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a> <a class="code" href="structgbmath_1_1mat33.html#a1ff7e1c35db123f455b23b58fe85d42c" title="Access to the rows of the index. ">operator [] </a>( <span class="keywordtype">size_t</span> index )<span class="keyword"> const</span></div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;           <span class="keywordflow">if</span>( index &gt;= 3 ) <span class="keywordflow">throw</span>(index);</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;           <span class="keywordflow">return</span> <span class="keyword">reinterpret_cast&lt;</span><span class="keyword">const </span><a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a>*<span class="keyword">&gt;</span>(<span class="keyword">this</span>)[index];</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;        }</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160; </div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
<div class="line"><a name="l00108"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a25fa7c9e69718f30c1b80544963ab6ee">  108</a></span>&#160;        <span class="keyword">inline</span> <span class="keyword">operator</span> <a class="code" href="structgbmath_1_1mat22.html" title="matrix 2x2 ">mat22</a>()</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;        {</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="structgbmath_1_1mat22.html" title="matrix 2x2 ">mat22</a>( <a class="code" href="structgbmath_1_1mat33.html#a621d5b5d5c4d083a89e5dd4598ee7758">_11</a>, <a class="code" href="structgbmath_1_1mat33.html#a3f712137dbe9eb176a0c55d6ac4a4617">_12</a>,</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;                          <a class="code" href="structgbmath_1_1mat33.html#ace480dd1e88b217ec8b722158bc9b95d">_21</a>, <a class="code" href="structgbmath_1_1mat33.html#a8cf44a9b30417de7565528d1dfb22e2c">_22</a> );</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;        }</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
<div class="line"><a name="l00114"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a6ff2c60c1b1c81a8d6173e0ab7157143">  114</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="structgbmath_1_1mat33.html#a6ff2c60c1b1c81a8d6173e0ab7157143">empty</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="structgbmath_1_1mat33.html#a621d5b5d5c4d083a89e5dd4598ee7758">_11</a>==0.0f &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#a3f712137dbe9eb176a0c55d6ac4a4617">_12</a>==0.0f &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#a2054a8fe9012ab0bf7935e4ea2dfab49">_13</a>==0.0f</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;                &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#ace480dd1e88b217ec8b722158bc9b95d">_21</a>==0.0f &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#a8cf44a9b30417de7565528d1dfb22e2c">_22</a>==0.0f &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#aa524945361d6d186c5b7ec475d5169e2">_23</a>==0.0f</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;                &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#a19439defcbee29ae409f204a64b27121">_31</a>==0.0f &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#a1b8847abf308ab754784e27f311466bf">_32</a>==0.0f &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#a9aa3e3799af26d428c78364617056fbc">_33</a>==0.0f;</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;        }</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;</div>
<div class="line"><a name="l00122"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#ab2bca81b08cdea784feab59bdc563983">  122</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="structgbmath_1_1mat33.html#ab2bca81b08cdea784feab59bdc563983" title="set all to zero ">setzero</a>() </div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;        { </div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html#a621d5b5d5c4d083a89e5dd4598ee7758">_11</a>=<a class="code" href="structgbmath_1_1mat33.html#a3f712137dbe9eb176a0c55d6ac4a4617">_12</a>=<a class="code" href="structgbmath_1_1mat33.html#a2054a8fe9012ab0bf7935e4ea2dfab49">_13</a>=<a class="code" href="structgbmath_1_1mat33.html#ace480dd1e88b217ec8b722158bc9b95d">_21</a>=<a class="code" href="structgbmath_1_1mat33.html#a8cf44a9b30417de7565528d1dfb22e2c">_22</a>=<a class="code" href="structgbmath_1_1mat33.html#aa524945361d6d186c5b7ec475d5169e2">_23</a>=<a class="code" href="structgbmath_1_1mat33.html#a19439defcbee29ae409f204a64b27121">_31</a>=<a class="code" href="structgbmath_1_1mat33.html#a1b8847abf308ab754784e27f311466bf">_32</a>=<a class="code" href="structgbmath_1_1mat33.html#a9aa3e3799af26d428c78364617056fbc">_33</a>=0.0f; </div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        }</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;</div>
<div class="line"><a name="l00128"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#af7130019d6a085c982bc15afa8aeb525">  128</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="structgbmath_1_1mat33.html#af7130019d6a085c982bc15afa8aeb525" title="reset. set to identity. ">setIdentity</a>()</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        {</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html#a621d5b5d5c4d083a89e5dd4598ee7758">_11</a>=1.0f; <a class="code" href="structgbmath_1_1mat33.html#a3f712137dbe9eb176a0c55d6ac4a4617">_12</a>=0.0f; <a class="code" href="structgbmath_1_1mat33.html#a2054a8fe9012ab0bf7935e4ea2dfab49">_13</a>=0.0f;</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html#ace480dd1e88b217ec8b722158bc9b95d">_21</a>=0.0f; <a class="code" href="structgbmath_1_1mat33.html#a8cf44a9b30417de7565528d1dfb22e2c">_22</a>=1.0f; <a class="code" href="structgbmath_1_1mat33.html#aa524945361d6d186c5b7ec475d5169e2">_23</a>=0.0f;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html#a19439defcbee29ae409f204a64b27121">_31</a>=0.0f; <a class="code" href="structgbmath_1_1mat33.html#a1b8847abf308ab754784e27f311466bf">_32</a>=0.0f; <a class="code" href="structgbmath_1_1mat33.html#a9aa3e3799af26d428c78364617056fbc">_33</a>=1.0f;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        }</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;</div>
<div class="line"><a name="l00135"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a2b684125ad1aea9db28de9b77bb311e7">  135</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">bool</span> <a class="code" href="structgbmath_1_1mat33.html#a2b684125ad1aea9db28de9b77bb311e7">isIdentity</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;            <span class="keywordflow">return</span> <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a>[0][0] == 1.0f &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a>[0][1] == 0.0f &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a>[0][2] == 0.0f &amp;&amp;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;                   <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a>[1][0] == 0.0f &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a>[1][1] == 1.0f &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a>[1][2] == 0.0f &amp;&amp;</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;                   <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a>[2][0] == 0.0f &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a>[2][1] == 0.0f &amp;&amp; <a class="code" href="structgbmath_1_1mat33.html#a54c58654b13928fce16ce9a6bedef0a2">floats</a>[2][2] == 1.0f ;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;        }</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;</div>
<div class="line"><a name="l00143"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a6cd2a18d50d06c4dff06782a2ecea242">  143</a></span>&#160;        <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="structgbmath_1_1mat33.html#a6cd2a18d50d06c4dff06782a2ecea242" title="reset. set to identity. same as setIdentity. ">reset</a>() </div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;        { </div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html#af7130019d6a085c982bc15afa8aeb525" title="reset. set to identity. ">setIdentity</a>(); </div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;        }</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;</div>
<div class="line"><a name="l00149"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#aaf10d3d8fbbb3d85664a97b773ec5ebb">  149</a></span>&#160;        <span class="keyword">inline</span> <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp;   <a class="code" href="structgbmath_1_1mat33.html#aaf10d3d8fbbb3d85664a97b773ec5ebb" title="transpose the matrix ">transpone</a>()</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;        {</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;             <span class="keyword">register</span> <span class="keywordtype">float</span> t;</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;            t=<a class="code" href="structgbmath_1_1mat33.html#a3f712137dbe9eb176a0c55d6ac4a4617">_12</a>;  <a class="code" href="structgbmath_1_1mat33.html#a3f712137dbe9eb176a0c55d6ac4a4617">_12</a>=<a class="code" href="structgbmath_1_1mat33.html#ace480dd1e88b217ec8b722158bc9b95d">_21</a>; <a class="code" href="structgbmath_1_1mat33.html#ace480dd1e88b217ec8b722158bc9b95d">_21</a>=t;</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;            t=<a class="code" href="structgbmath_1_1mat33.html#a2054a8fe9012ab0bf7935e4ea2dfab49">_13</a>;  <a class="code" href="structgbmath_1_1mat33.html#a2054a8fe9012ab0bf7935e4ea2dfab49">_13</a>=<a class="code" href="structgbmath_1_1mat33.html#a19439defcbee29ae409f204a64b27121">_31</a>; <a class="code" href="structgbmath_1_1mat33.html#a19439defcbee29ae409f204a64b27121">_31</a>=t;</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;            t=<a class="code" href="structgbmath_1_1mat33.html#aa524945361d6d186c5b7ec475d5169e2">_23</a>;  <a class="code" href="structgbmath_1_1mat33.html#aa524945361d6d186c5b7ec475d5169e2">_23</a>=<a class="code" href="structgbmath_1_1mat33.html#a1b8847abf308ab754784e27f311466bf">_32</a>; <a class="code" href="structgbmath_1_1mat33.html#a1b8847abf308ab754784e27f311466bf">_32</a>=t;</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;              <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;        }</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;</div>
<div class="line"><a name="l00159"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a1052788e40ede69fd6193f7d87989e94">  159</a></span>&#160;        <span class="keyword">inline</span> <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a> <a class="code" href="structgbmath_1_1mat33.html#a1052788e40ede69fd6193f7d87989e94" title="return transposed the matrix ">getTransponed</a>()<span class="keyword"> const</span></div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;<span class="keyword">        </span>{</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;            <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a> res = *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;            res.<a class="code" href="structgbmath_1_1mat33.html#aaf10d3d8fbbb3d85664a97b773ec5ebb" title="transpose the matrix ">transpone</a>();</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;            <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;        }</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;</div>
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<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;</div>
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<div class="line"><a name="l00169"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#a2f6e907c1e1afafce294a8d453eab2a3">  169</a></span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>  <a class="code" href="structgbmath_1_1mat33.html#a2f6e907c1e1afafce294a8d453eab2a3">inverted</a>()<span class="keyword"> const </span>{ <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a> res; res=*<span class="keyword">this</span>; res.<a class="code" href="structgbmath_1_1mat33.html#a8ad219cdf01eacb02a46d95409cadf07">invert</a>(); <span class="keywordflow">return</span> res; }</div>
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<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp; <a class="code" href="structgbmath_1_1mat33.html#a3cbfa68b26ad91f69e4c00ac31241d0e">setScaling</a> ( <span class="keyword">const</span> <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a>&amp; v );</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;</div>
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<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp; <a class="code" href="structgbmath_1_1mat33.html#a73ab36e75d72ec2c99edea6ffdd35add">setRotationY</a> ( <span class="keywordtype">float</span> angle );</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp; <a class="code" href="structgbmath_1_1mat33.html#ab5f9dbd7fab94de76db084e46252389f">setRotationZ</a> ( <span class="keywordtype">float</span> angle );</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp; <a class="code" href="structgbmath_1_1mat33.html#a95035529046c3714e3b9d586efc4b0a1">setRotation</a> ( <span class="keyword">const</span> <a class="code" href="structgbmath_1_1vec3.html" title="3d-base vector. Corrected by operators epislon ">vec3</a>&amp; v, <span class="keywordtype">float</span> angle );</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp;  <a class="code" href="structgbmath_1_1mat33.html#a2788ed3f9572f25c19ce5cd4578eb3be">setMirrorX</a>();</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp;  <a class="code" href="structgbmath_1_1mat33.html#a08b6ca602cdb256ddd6c62e6c6f96463">setMirrorY</a>();</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;        <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp;  <a class="code" href="structgbmath_1_1mat33.html#ab5fd41f1fb570f5a04c8d7316e5420a6">setMirrorZ</a>();</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;</div>
<div class="line"><a name="l00185"></a><span class="lineno"><a class="code" href="structgbmath_1_1mat33.html#ae399a1de3ccb9c042303849025cc2fad">  185</a></span>&#160;        <span class="keyword">friend</span> std::ostream&amp; <a class="code" href="structgbmath_1_1mat33.html#ae399a1de3ccb9c042303849025cc2fad">operator &lt;&lt; </a>(std::ostream&amp; os, <span class="keyword">const</span> <a class="code" href="structgbmath_1_1mat33.html" title="matrix 3x3 ">mat33</a>&amp; a)</div>
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<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;            os &lt;&lt; a.<a class="code" href="structgbmath_1_1mat33.html#a19439defcbee29ae409f204a64b27121">_31</a> &lt;&lt; <span class="stringliteral">&quot; &quot;</span> &lt;&lt; a.<a class="code" href="structgbmath_1_1mat33.html#a1b8847abf308ab754784e27f311466bf">_32</a> &lt;&lt; <span class="stringliteral">&quot; &quot;</span> &lt;&lt; a.<a class="code" href="structgbmath_1_1mat33.html#a9aa3e3799af26d428c78364617056fbc">_33</a> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
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<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;    };</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160; </div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;}</div>
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